Phil also recommended that I look at Modern Toss. Modern Toss is a comic by both Jon Link and Mike Bunnage. They show specific situations, which are mocked by it's characters. Like Shrigley's work, they are quite simple and have a line art style.
Both of these influences can lead to a fun Beginner's guide to failure and should be very funny, and somewhat controversial due to it's messages and style of humor. I will try to create some characters of my own, using a similar style, but is obviously still my own.
An example of one of David Shrigley's animations is below. It takes a very awkward situation, and through the way it has been created, the animation makes it weird, but fun, to watch.